Question

x + 3y = 5 , 3x - y = 5​

Answer 1

Answer:

y=1

x = 2

Step-by-step explanation:

x= 5-3y

now put the equation in second equation

3(5-3y)-y=5

15-9y-y=5

-10y =-10

y=1

and by putting the value of y in first equation we will get the value of x = 2

Answer 2

Answer:

2 and 1 are the required value of x and y.

Step-by-step explanation:

Explanation:

Given in the question that,

x + 3y = 5 and 3x -y = 5

We solve this equation by using elimination method.

• The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Step 1:

From the question we have,

x + 3y = 5 ...........(i)  and

3x -y = 5...........(ii)

Now, by elimination method

3(x + 3y = 5)

  3x - y = 5  

-      +    = -  

       10y = 10

⇒ y = $\frac{10}{10}$ = 1

Now, we put the value of y = 1 in any one of the equation.

So, on putting y = 1 in (i) we get,

⇒ x + 3y = 5

⇒x + 3(1) = 5

⇒x = 5 - 3 = 2

Final answer:

Hence, 2 and 1 is the required value of x and y.

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